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Finding the Fourth Proportional to 33.94, 46.78 and 30.68

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Solution

The fourth proportional to 33.94, 46.78 and 30.68 is: 42.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.94 : 46.78 = 30.68 : x
  2. Step 2: Convert to fraction form
    33.94/46.78 = 30.68/x
  3. Step 3: Cross multiply
    33.94x = 46.78 × 30.68
  4. Step 4: Simplify right side
    33.94x = 1,435.21
  5. Step 5: Solve for x
    x = 1,435.21/33.94
  6. Step 6: Final answer
    x = 42.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.